By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.
<h3>How to determine the equation of a line parallel to another line</h3>
In accordance with the analytical geometry, two lines are <em>parallel</em> when they share the <em>same</em> slope (m) but <em>different</em> intercepts (b). <em>Linear</em> functions are usually are described by the following form:
y = m · x + b (1)
Where:
- x - Independent variable
- y - Dependent variable
Based on the given information, we conclude that g(x) has a slope of -4/17. Lastly, we use (1) and the given point to determine the intercept of the function:
27 = -(4/17) · (-1) + b
b = 455/17
By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.
To learn more on linear functions: brainly.com/question/21107621
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